- Compound of five octahedra
Compound of five octahedra Type Regular compound Index UC17, W23 Elements
(As a compound)
F = 40, E = 60, V = 30
Dual compound Compound of five cubes Symmetry group icosahedral (Ih) Subgroup restricting to one constituent pyritohedral (Th) Stellation diagram Stellation core Convex hull
As a stellation
As a compound
It shares its edges and half of its triangular faces with the compound of five tetrahemihexahedra.
Compound of five octahedra
Compound of five tetrahemihexahedra
As a facetting
At left only one octahedron is shown; all five are shown at right.
- Peter R. Cromwell, Polyhedra, Cambridge, 1997.
- Wenninger, Magnus (1974). Polyhedron Models. Cambridge University Press. ISBN 0-521-09859-9.
- Coxeter, Harold Scott MacDonald; Du Val, P.; Flather, H. T.; Petrie, J. F. (1999). The fifty-nine icosahedra (3rd ed.). Tarquin. ISBN 978-1-899618-32-3. MR676126 (1st Edn University of Toronto (1938))
- E. Hess 1876 Zugleich Gleicheckigen und Gleichflächigen Polyeder, Schriften der Gesellschaft zur Berörderung der Gasammten Naturwissenschaften zu Marburg 11 (1876) pp 5–97.
Notable stellations of the icosahedron Regular Uniform duals Regular compounds Regular star Others Icosahedron Small triambic icosahedron Great triambic icosahedron Compound of five octahedra Compound of five tetrahedra Compound of ten tetrahedra Great icosahedron Excavated dodecahedron Final stellation The stellation process on the icosahedron creates a number of related polyhedra and compounds with icosahedral symmetry. This polyhedron-related article is a stub. You can help Wikipedia by expanding it.